q-Analogs of some congruences involving Catalan numbers

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We provide some variations on the Greene-Krammer's identity which involve q-Catalan numbers. Our method reveals a curious analogy between these new identities and some congruences modulo a prime.

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Combinatorics, Number Theory, 11B65, 11A07 (Primary) 05A10, 05A19 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/231229

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0905.3816
 http://arxiv.org/abs/0905.3816

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arXiv